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Apr 18, 2017 at 8:05 vote accept Sky
Apr 18, 2017 at 8:04 comment added ZeroTheHero Observables are not used to transform states. You compute their averages etc, and in some cases (like $S_x$) they have an interpretation as generators of infinitesimal transformations. Their eigenvalues and eigenvectors have important applications.
Apr 18, 2017 at 7:57 comment added Sky So what effect does the action of $S_{x,1}=S_{1+}+S{1-}$ have on the initial state if it's not the same as using the projector? I mean, if it doesn't give the state after the measurement, what's its physical meaning? Applying this operator definitely changes the state, after all.
Apr 17, 2017 at 18:47 history answered ZeroTheHero CC BY-SA 3.0